List of top Mathematics Questions

If the system of simultaneous linear equations \(x - 2y + z = 0\), \(2x + 3y + z = 6\) and \(x + 2y + pz = q\) has infinitely many solutions, then
If \(\cos 4x = \cos 3x\), find the general solution for \(x\).
A square matrix P satisfies \(P^2 = I - P\). If \(P^n = 5I - 8P\) then n is equal to
The mean of some observations is 54. If each observation is increased by 8 and its sum is divided by 2, then what is the mean of the resulting observations?
If the sum of the first four terms of an A.P. is 6 and the sum of its first six terms is 4 , then the sum of its first twelve terms is
Two numbers P and Q are selected from Set {1,2,3,.....,100\,then find the probability of P.Q is divisible by 5.}
Let \(n(A) = m\) and \(n(B) = n\), if the number of subsets of A is 56 more than of subsets of B, then \(m + n\) is equal to
Out of 8 students in Section Alpha, 10 students in Section Beta and 12 students in Section Gamma, a teacher wants to create a team of three to represent the school in inter-school quiz competition. In how many ways the team can be formed such that all the members of the team are not from the same section ?
A certain sum of money is borrowed by a person at 8% simple interest for 4 years. If he has to pay Rs. 7834 as interest, what is the total amount he has to pay?
If \( \mathbf{x} \) and \( \mathbf{y} \) are positive integers then the following is always true?
{2x - 3y < 0
(1) x = (y - 1)
(2) x > y
A school sold drama tickets for Rs. 100 each for donating to an orphanage. One member sold 75% of his tickets and had 80 tickets left. How many tickets did the member collect?
When two dice are thrown simultaneously, what is the probability that the sum of the two numbers is less than 13?
If a merchant offers a discount of 40% on the marked price of his goods and thus ends up selling at cost price, what was the % mark up?
If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
If $5\sqrt{5} \times 5^3 \div 5^{-3/2} = 5^{x+2}$, find the value of x.
Find the value of $(1 - \frac{1}{2})(1 - \frac{1}{3})(1 - \frac{1}{4}) \dots (1 - \frac{1}{n})$.
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm. Find the area of the triangle?
A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
How many numbers divisible by 132:
264, 396, 462, 792, 968, 2178, 5184, 6336
Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.
In a group of 25, 10 have studied French, 11 have studied Spanish, and 8 have not studied either. How many of these studied both French and Spanish?
The whole area surrounded by the curve with the equations $x = a \cos^3 t, y = b \sin^3 t$ is:
The radius of the base of a cone is increasing at the rate of 3 cm/minute and the altitude is decreasing at the rate of 4 cm minute. The rate of change of lateral surface when the radius = 7 cm and altitude = 24 cm, is
The standard deviation of 100 observations is 10. If 20 is added to each observation, then what will be the new standard deviation?